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Discussion4.docx
Discussion4.docx
Discussion 4.1
Out of all of the topics covered so far in the course (whole numbers, fraction notation: multiplication, division, and mixed numerals), which did you enjoy the most? Which do you enjoy the least? Why?
Homework 4 College Mathematics (2023) (Homework)
3.
[–/4 Points]DETAILSTGBASMATHP6 8.6.004.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Rewrite the expressions using the rule for exponents that applies in each situation: power rule, product rule, power of a product, or exponent of 1. (Combine or distribute exponents as appropriate.)
(a)
x = x
(b)
xsxt =
(c)
( xy) t =
(d)
( ab) c =
4.
[–/2 Points]DETAILSTGBASMATHP6 8.6.012.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Complete each step to simplify the expression.
|
( x4)2( x5)2 |
= |
x · x10 |
|
|
= |
x |
5.
[–/4 Points]DETAILSTGBASMATHP6 8.R.007.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Translate each phrase to the equivalent algebraic expression.
(a)
22 more than the height h
(b)
300 reduced by twice the cutoff score s
(c)
9 less than one-half of the time t
(d)
the absolute value of the difference of 4 and the square of a
6.
[–/1 Points]DETAILSTGBASMATHP6 8.R.012.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the algebraic expression for the given value of the variable.
( x − 6)2 for x = −1
7.
[–/1 Points]DETAILSTGBASMATHP6 8.R.014.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the algebraic expression for the given values of the variables.
|
x + y |
|
− x − z |
for x = 16, y = 17, and z = −15
8.
[–/1 Points]DETAILSTGBASMATHP6 8.R.020.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Use the distributive property to remove parentheses.
−(5 x + 4 − y)
9.
[–/1 Points]DETAILSTGBASMATHP6 8.R.025.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Simplify the expression by combining like terms, if possible. (If not possible, enter IMPOSSIBLE.)
7 p + 4 p − 3 p
10.
[–/1 Points]DETAILSTGBASMATHP6 8.R.034.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Simplify the expression by combining like terms, if possible. (If not possible, enter IMPOSSIBLE.)
30
|
|
|
1 |
|
6 |
h −
|
4 |
|
5 |
|
|
+ 30
|
|
|
1 |
|
3 |
|
|
Bottom of Form
Homework 4 College Mathematics (2023) (Homework)
3.
[–/4 Points]DETAILSTGBASMATHP6 8.6.004.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Rewrite the expressions using the rule for exponents that applies in each situation: power rule, product rule, power of a product, or exponent of 1. (Combine or distribute exponents as appropriate.)
(a)
x = x
(b)
xsxt =
(c)
( xy) t =
(d)
( ab) c =
4.
[–/2 Points]DETAILSTGBASMATHP6 8.6.012.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Complete each step to simplify the expression.
|
( x3)4( x2)4 |
= |
x · x8 |
|
|
= |
x |
5.
[–/4 Points]DETAILSTGBASMATHP6 8.R.007.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Translate each phrase to the equivalent algebraic expression.
(a)
28 more than the height h
(b)
300 reduced by twice the cutoff score s
(c)
9 less than one-half of the time t
(d)
the absolute value of the difference of 4 and the square of a
6.
[–/1 Points]DETAILSTGBASMATHP6 8.R.012.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the algebraic expression for the given value of the variable.
( x − 5)2 for x = −1
7.
[–/1 Points]DETAILSTGBASMATHP6 8.R.014.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the algebraic expression for the given values of the variables.
|
x + y |
|
− x − z |
for x = 15, y = 16, and z = −14
8.
[–/1 Points]DETAILSTGBASMATHP6 8.R.020.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Use the distributive property to remove parentheses.
−(3 x + 4 − y)
9.
[–/1 Points]DETAILSTGBASMATHP6 8.R.025.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Simplify the expression by combining like terms, if possible. (If not possible, enter IMPOSSIBLE.)
7 p + 3 p − 2 p
10.
[–/1 Points]DETAILSTGBASMATHP6 8.R.034.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Simplify the expression by combining like terms, if possible. (If not possible, enter IMPOSSIBLE.)
45
|
|
|
1 |
|
9 |
h −
|
4 |
|
5 |
|
|
+ 45
|
|
|
1 |
|
3 |
|
|
Bottom of Form
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Discussion4.docx
Discussion 4.1
Out of all of the topics covered so far in the course (whole numbers, fraction notation: multiplication, division, and mixed numerals), which did you enjoy the most? Which do you enjoy the least? Why?
Homework 4 College Mathematics (2023) (Homework)
3.
[–/4 Points]DETAILSTGBASMATHP6 8.6.004.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Rewrite the expressions using the rule for exponents that applies in each situation: power rule, product rule, power of a product, or exponent of 1. (Combine or distribute exponents as appropriate.)
(a)
x = x
(b)
xsxt =
(c)
( xy) t =
(d)
( ab) c =
4.
[–/2 Points]DETAILSTGBASMATHP6 8.6.012.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Complete each step to simplify the expression.
|
( x4)2( x5)2 |
= |
x · x10 |
|
|
= |
x |
5.
[–/4 Points]DETAILSTGBASMATHP6 8.R.007.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Translate each phrase to the equivalent algebraic expression.
(a)
22 more than the height h
(b)
300 reduced by twice the cutoff score s
(c)
9 less than one-half of the time t
(d)
the absolute value of the difference of 4 and the square of a
6.
[–/1 Points]DETAILSTGBASMATHP6 8.R.012.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the algebraic expression for the given value of the variable.
( x − 6)2 for x = −1
7.
[–/1 Points]DETAILSTGBASMATHP6 8.R.014.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the algebraic expression for the given values of the variables.
|
x + y |
|
− x − z |
for x = 16, y = 17, and z = −15
8.
[–/1 Points]DETAILSTGBASMATHP6 8.R.020.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Use the distributive property to remove parentheses.
−(5 x + 4 − y)
9.
[–/1 Points]DETAILSTGBASMATHP6 8.R.025.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Simplify the expression by combining like terms, if possible. (If not possible, enter IMPOSSIBLE.)
7 p + 4 p − 3 p
10.
[–/1 Points]DETAILSTGBASMATHP6 8.R.034.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Simplify the expression by combining like terms, if possible. (If not possible, enter IMPOSSIBLE.)
30
|
|
|
1 |
|
6 |
h −
|
4 |
|
5 |
|
|
+ 30
|
|
|
1 |
|
3 |
|
|
Bottom of Form
Homework 4 College Mathematics (2023) (Homework)
3.
[–/4 Points]DETAILSTGBASMATHP6 8.6.004.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Rewrite the expressions using the rule for exponents that applies in each situation: power rule, product rule, power of a product, or exponent of 1. (Combine or distribute exponents as appropriate.)
(a)
x = x
(b)
xsxt =
(c)
( xy) t =
(d)
( ab) c =
4.
[–/2 Points]DETAILSTGBASMATHP6 8.6.012.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Complete each step to simplify the expression.
|
( x3)4( x2)4 |
= |
x · x8 |
|
|
= |
x |
5.
[–/4 Points]DETAILSTGBASMATHP6 8.R.007.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Translate each phrase to the equivalent algebraic expression.
(a)
28 more than the height h
(b)
300 reduced by twice the cutoff score s
(c)
9 less than one-half of the time t
(d)
the absolute value of the difference of 4 and the square of a
6.
[–/1 Points]DETAILSTGBASMATHP6 8.R.012.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the algebraic expression for the given value of the variable.
( x − 5)2 for x = −1
7.
[–/1 Points]DETAILSTGBASMATHP6 8.R.014.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Evaluate the algebraic expression for the given values of the variables.
|
x + y |
|
− x − z |
for x = 15, y = 16, and z = −14
8.
[–/1 Points]DETAILSTGBASMATHP6 8.R.020.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Use the distributive property to remove parentheses.
−(3 x + 4 − y)
9.
[–/1 Points]DETAILSTGBASMATHP6 8.R.025.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Simplify the expression by combining like terms, if possible. (If not possible, enter IMPOSSIBLE.)
7 p + 3 p − 2 p
10.
[–/1 Points]DETAILSTGBASMATHP6 8.R.034.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Simplify the expression by combining like terms, if possible. (If not possible, enter IMPOSSIBLE.)
45
|
|
|
1 |
|
9 |
h −
|
4 |
|
5 |
|
|
+ 45
|
|
|
1 |
|
3 |
|
|
Bottom of Form
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